[RFC] Create Next.js integration package

[siriwatknp]

What's the problem? 🤔

• I miss updating some places of the docs to use the new snippet of ThemeRegistry to work with App Router. It would be nice if we can consolidate the code and update it in one place.
• I feel that using a package makes more sense in this case rather than copy-pasting. I would not care how it works (the code), I just want my app to work.

What are the requirements? ❓

No response

What are our options? 💡

1. MUI owns this integration.
2. Let the community owns it.

Proposed solution 🟢

Create a new package under MUI repository. The package offers 2 APIs to work with page router and App router (should not deviate much from what we already have in the example repositories).

We could name the folder mui-nextjs or mui-nextjs-integration.
The package name can be @mui/nextjs or @mui/nextjs-integration.

Resources and benchmarks 🔗

https://docs.tss-react.dev/ssr/next.js

[siriwatknp]

cc @mui/core

[oliviertassinari]

Related #30858

[oliviertassinari]

Same as #34575?

[siriwatknp]

Same as #34575?

Agree, I am closing this.